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Finding the Third Proportional to 258,865.88 and 553,712.63

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Solution

The third proportional to 258,865.88 and 553,712.63 is: 1,184,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,865.88 : 553,712.63 = 553,712.63 : x
  2. Step 2: Convert to fraction form
    258,865.88/553,712.63 = 553,712.63/x
  3. Step 3: Cross multiply
    258,865.88x = 553,712.63 × 553,712.63
  4. Step 4: Simplify right side
    258,865.88x = 306,597,671,084.39
  5. Step 5: Solve for x
    x = 306,597,671,084.39/258,865.88
  6. Step 6: Final answer
    x = 1,184,388.14

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.